The coefficient of determination (r²)tells you A) the proportion of variation in Y that is explained by the independent variable X in the model. B) whether r has any significance. C) that you should not partition the total variation. D) that the coefficient of correlation (r) is larger than 1.

Question

Quizplus · Accepted Answer

The coefficient of determination (r squared) tells us what proportion of the variability in the response variable (Y) can be explained by the independent variable (X) in the model. Therefore, option A is the correct answer. Option B is incorrect because r significance is usually tested using hypothesis testing, not the coefficient of determination. Option C is incorrect because the coefficient of determination is used to partition the total variability. Option D is incorrect because the coefficient of correlation (r) cannot be larger than 1.

The Coefficient of Determination (R2)tells You

The Coefficient of Determination (R²)tells You